Answer to Question #243058 in Physics for Solla

Question

A box measures 3.0 ft x 2.0 ft x 1.50 ft. Each book measures 25.0 cm x 10.0 cm x 5.0 cm. What is the maximum number of this books that this box can contain?

Answer 1

Keep in mind that 1 ft is 30.48 cm.

Find the volume of a book and the box:

$$v=abc=1250\text{ cm}^3.\\ V=ABC=254852\text{ cm}^3.$$

The book is very small compared to the box, so, neglect the shape. The number of books is

$$N=\frac Vv=203.$$